TSTP Solution File: PUZ030-2 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : PUZ030-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 18:19:19 EDT 2022

% Result   : Unsatisfiable 0.18s 0.44s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   74
% Syntax   : Number of formulae    :  482 ( 143 unt;  10 typ;   0 def)
%            Number of atoms       : 3530 ( 914 equ;   0 cnn)
%            Maximal formula atoms :   10 (   7 avg)
%            Number of connectives : 1898 ( 668   ~;1230   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;  12 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_mustard_barry,type,
    mustard_barry: $o ).

thf(tp_mustard_cole,type,
    mustard_cole: $o ).

thf(tp_mustard_dix,type,
    mustard_dix: $o ).

thf(tp_mustard_lang,type,
    mustard_lang: $o ).

thf(tp_mustard_mill,type,
    mustard_mill: $o ).

thf(tp_salt_barry,type,
    salt_barry: $o ).

thf(tp_salt_cole,type,
    salt_cole: $o ).

thf(tp_salt_dix,type,
    salt_dix: $o ).

thf(tp_salt_lang,type,
    salt_lang: $o ).

thf(tp_salt_mill,type,
    salt_mill: $o ).

thf(1,axiom,
    ( salt_dix
    | mustard_dix
    | mustard_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c62) ).

thf(2,axiom,
    ( salt_mill
    | mustard_mill
    | salt_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c61) ).

thf(3,axiom,
    ( salt_barry
    | mustard_barry
    | salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c60) ).

thf(4,axiom,
    ( salt_lang
    | mustard_lang
    | mustard_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c59) ).

thf(5,axiom,
    ( salt_mill
    | mustard_mill
    | mustard_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c58) ).

thf(6,axiom,
    ( salt_cole
    | mustard_cole
    | mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c57) ).

thf(7,axiom,
    ( salt_mill
    | mustard_mill
    | mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c56) ).

thf(8,axiom,
    ( ~ salt_barry
    | ~ mustard_cole
    | ~ salt_cole
    | salt_lang
    | mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c55) ).

thf(9,axiom,
    ( ~ salt_barry
    | ~ mustard_cole
    | ~ salt_cole
    | ~ mustard_lang
    | ~ salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c54) ).

thf(10,axiom,
    ( ~ salt_lang
    | salt_barry
    | mustard_barry
    | ~ mustard_dix
    | ~ salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c53) ).

thf(11,axiom,
    ( ~ salt_lang
    | ~ mustard_barry
    | ~ salt_barry
    | salt_dix
    | mustard_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c52) ).

thf(12,axiom,
    ( ~ salt_lang
    | ~ mustard_barry
    | ~ salt_barry
    | ~ mustard_dix
    | ~ salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c51) ).

thf(13,axiom,
    ( ~ mustard_mill
    | salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c50) ).

thf(14,axiom,
    ( ~ mustard_mill
    | ~ mustard_cole
    | ~ salt_cole
    | ~ mustard_dix
    | ~ salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c49) ).

thf(15,axiom,
    ( ~ salt_cole
    | salt_barry
    | mustard_barry
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c48) ).

thf(16,axiom,
    ( ~ salt_cole
    | salt_barry
    | mustard_barry
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c47) ).

thf(17,axiom,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c46) ).

thf(18,axiom,
    ( ~ salt_cole
    | ~ mustard_barry
    | ~ salt_barry
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c45) ).

thf(19,axiom,
    ( ~ salt_cole
    | mustard_cole
    | salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c44) ).

thf(20,axiom,
    ( salt_cole
    | ~ mustard_cole
    | salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c43) ).

thf(21,axiom,
    ( ~ salt_lang
    | mustard_lang
    | salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c42) ).

thf(22,axiom,
    ( salt_lang
    | ~ mustard_lang
    | salt_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c41) ).

thf(23,axiom,
    ( ~ salt_mill
    | ~ mustard_mill
    | mustard_barry ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c40) ).

thf(24,axiom,
    ( ~ salt_barry
    | mustard_barry
    | salt_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c39) ).

thf(25,axiom,
    ( salt_barry
    | ~ mustard_barry
    | salt_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c38) ).

thf(26,axiom,
    ( ~ salt_dix
    | ~ mustard_dix
    | mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c37) ).

thf(27,axiom,
    ( ~ salt_lang
    | ~ mustard_lang
    | mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c36) ).

thf(28,axiom,
    ( ~ salt_cole
    | ~ mustard_cole
    | salt_dix ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c35) ).

thf(29,axiom,
    ( ~ salt_barry
    | mustard_barry
    | salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c34) ).

thf(30,axiom,
    ( salt_barry
    | ~ mustard_barry
    | salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c33) ).

thf(31,axiom,
    ( ~ salt_dix
    | mustard_dix
    | salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c32) ).

thf(32,axiom,
    ( salt_dix
    | ~ mustard_dix
    | salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c31) ).

thf(33,axiom,
    ( ~ salt_barry
    | ~ mustard_barry
    | salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c30) ).

thf(34,axiom,
    ( ~ salt_lang
    | ~ mustard_lang
    | salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c29) ).

thf(35,axiom,
    ( ~ salt_cole
    | mustard_cole
    | mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c28) ).

thf(36,axiom,
    ( salt_cole
    | ~ mustard_cole
    | mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c27) ).

thf(37,axiom,
    ( ~ salt_dix
    | mustard_dix
    | mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c26) ).

thf(38,axiom,
    ( salt_dix
    | ~ mustard_dix
    | mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c25) ).

thf(39,axiom,
    ( ~ mustard_barry
    | ~ salt_dix
    | salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c24) ).

thf(40,axiom,
    ( ~ mustard_barry
    | ~ salt_dix
    | mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c23) ).

thf(41,axiom,
    ( ~ mustard_barry
    | ~ mustard_dix
    | salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c22) ).

thf(42,axiom,
    ( ~ mustard_barry
    | ~ mustard_dix
    | mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c21) ).

thf(43,axiom,
    ( ~ mustard_cole
    | salt_dix
    | salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c20) ).

thf(44,axiom,
    ( ~ mustard_cole
    | salt_dix
    | mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c19) ).

thf(45,axiom,
    ( ~ mustard_cole
    | mustard_dix
    | salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c18) ).

thf(46,axiom,
    ( ~ mustard_cole
    | mustard_dix
    | mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c17) ).

thf(47,axiom,
    ( ~ salt_dix
    | ~ salt_barry
    | salt_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c16) ).

thf(48,axiom,
    ( ~ salt_dix
    | ~ salt_barry
    | mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c15) ).

thf(49,axiom,
    ( ~ salt_dix
    | ~ mustard_barry
    | salt_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c14) ).

thf(50,axiom,
    ( ~ salt_dix
    | ~ mustard_barry
    | mustard_cole ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c13) ).

thf(51,axiom,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c12) ).

thf(52,axiom,
    ( ~ mustard_dix
    | ~ salt_lang
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c11) ).

thf(53,axiom,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c10) ).

thf(54,axiom,
    ( ~ mustard_dix
    | ~ mustard_lang
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c9) ).

thf(55,axiom,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c8) ).

thf(56,axiom,
    ( ~ mustard_lang
    | ~ salt_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c7) ).

thf(57,axiom,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ salt_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c6) ).

thf(58,axiom,
    ( ~ mustard_lang
    | ~ mustard_cole
    | ~ mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c5) ).

thf(59,axiom,
    ( ~ salt_mill
    | salt_barry
    | salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c4) ).

thf(60,axiom,
    ( ~ salt_mill
    | salt_barry
    | mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c3) ).

thf(61,axiom,
    ( ~ salt_mill
    | mustard_barry
    | salt_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c2) ).

thf(62,axiom,
    ( ~ salt_mill
    | mustard_barry
    | mustard_lang ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c1) ).

thf(63,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(64,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[63]) ).

thf(65,negated_conjecture,
    ( salt_lang
    | ~ mustard_barry
    | ~ salt_barry
    | ~ salt_mill
    | ~ mustard_lang
    | salt_cole
    | mustard_cole
    | salt_dix
    | mustard_dix
    | mustard_mill ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_who_takes_what) ).

thf(66,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[64]) ).

thf(67,plain,
    ( ( salt_dix
      | mustard_dix
      | mustard_barry )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(68,plain,
    ( ( salt_mill
      | mustard_mill
      | salt_cole )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(69,plain,
    ( ( salt_barry
      | mustard_barry
      | salt_dix )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(70,plain,
    ( ( salt_lang
      | mustard_lang
      | mustard_dix )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(71,plain,
    ( ( salt_mill
      | mustard_mill
      | mustard_dix )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(72,plain,
    ( ( salt_cole
      | mustard_cole
      | mustard_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(73,plain,
    ( ( salt_mill
      | mustard_mill
      | mustard_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(74,plain,
    ( ( ~ salt_barry
      | ~ mustard_cole
      | ~ salt_cole
      | salt_lang
      | mustard_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(75,plain,
    ( ( ~ salt_barry
      | ~ mustard_cole
      | ~ salt_cole
      | ~ mustard_lang
      | ~ salt_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(76,plain,
    ( ( ~ salt_lang
      | salt_barry
      | mustard_barry
      | ~ mustard_dix
      | ~ salt_dix )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(77,plain,
    ( ( ~ salt_lang
      | ~ mustard_barry
      | ~ salt_barry
      | salt_dix
      | mustard_dix )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(78,plain,
    ( ( ~ salt_lang
      | ~ mustard_barry
      | ~ salt_barry
      | ~ mustard_dix
      | ~ salt_dix )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(79,plain,
    ( ( ~ mustard_mill
      | salt_cole
      | mustard_cole
      | salt_dix
      | mustard_dix )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(80,plain,
    ( ( ~ mustard_mill
      | ~ mustard_cole
      | ~ salt_cole
      | ~ mustard_dix
      | ~ salt_dix )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(81,plain,
    ( ( ~ salt_cole
      | salt_barry
      | mustard_barry
      | ~ salt_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(82,plain,
    ( ( ~ salt_cole
      | salt_barry
      | mustard_barry
      | ~ mustard_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(83,plain,
    ( ( ~ salt_cole
      | ~ mustard_barry
      | ~ salt_barry
      | ~ salt_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(84,plain,
    ( ( ~ salt_cole
      | ~ mustard_barry
      | ~ salt_barry
      | ~ mustard_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(85,plain,
    ( ( ~ salt_cole
      | mustard_cole
      | salt_barry )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(86,plain,
    ( ( salt_cole
      | ~ mustard_cole
      | salt_barry )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(87,plain,
    ( ( ~ salt_lang
      | mustard_lang
      | salt_barry )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(88,plain,
    ( ( salt_lang
      | ~ mustard_lang
      | salt_barry )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(89,plain,
    ( ( ~ salt_mill
      | ~ mustard_mill
      | mustard_barry )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(90,plain,
    ( ( ~ salt_barry
      | mustard_barry
      | salt_cole )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(91,plain,
    ( ( salt_barry
      | ~ mustard_barry
      | salt_cole )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(92,plain,
    ( ( ~ salt_dix
      | ~ mustard_dix
      | mustard_cole )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(93,plain,
    ( ( ~ salt_lang
      | ~ mustard_lang
      | mustard_cole )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(94,plain,
    ( ( ~ salt_cole
      | ~ mustard_cole
      | salt_dix )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(95,plain,
    ( ( ~ salt_barry
      | mustard_barry
      | salt_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(96,plain,
    ( ( salt_barry
      | ~ mustard_barry
      | salt_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(97,plain,
    ( ( ~ salt_dix
      | mustard_dix
      | salt_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(98,plain,
    ( ( salt_dix
      | ~ mustard_dix
      | salt_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(99,plain,
    ( ( ~ salt_barry
      | ~ mustard_barry
      | salt_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(100,plain,
    ( ( ~ salt_lang
      | ~ mustard_lang
      | salt_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(101,plain,
    ( ( ~ salt_cole
      | mustard_cole
      | mustard_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(102,plain,
    ( ( salt_cole
      | ~ mustard_cole
      | mustard_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(103,plain,
    ( ( ~ salt_dix
      | mustard_dix
      | mustard_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(104,plain,
    ( ( salt_dix
      | ~ mustard_dix
      | mustard_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(105,plain,
    ( ( ~ mustard_barry
      | ~ salt_dix
      | salt_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(106,plain,
    ( ( ~ mustard_barry
      | ~ salt_dix
      | mustard_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(107,plain,
    ( ( ~ mustard_barry
      | ~ mustard_dix
      | salt_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(108,plain,
    ( ( ~ mustard_barry
      | ~ mustard_dix
      | mustard_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(109,plain,
    ( ( ~ mustard_cole
      | salt_dix
      | salt_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(110,plain,
    ( ( ~ mustard_cole
      | salt_dix
      | mustard_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(111,plain,
    ( ( ~ mustard_cole
      | mustard_dix
      | salt_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(112,plain,
    ( ( ~ mustard_cole
      | mustard_dix
      | mustard_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(113,plain,
    ( ( ~ salt_dix
      | ~ salt_barry
      | salt_cole )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(114,plain,
    ( ( ~ salt_dix
      | ~ salt_barry
      | mustard_cole )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(115,plain,
    ( ( ~ salt_dix
      | ~ mustard_barry
      | salt_cole )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(116,plain,
    ( ( ~ salt_dix
      | ~ mustard_barry
      | mustard_cole )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(117,plain,
    ( ( ~ mustard_dix
      | ~ salt_lang
      | ~ salt_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(118,plain,
    ( ( ~ mustard_dix
      | ~ salt_lang
      | ~ mustard_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(119,plain,
    ( ( ~ mustard_dix
      | ~ mustard_lang
      | ~ salt_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(120,plain,
    ( ( ~ mustard_dix
      | ~ mustard_lang
      | ~ mustard_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(121,plain,
    ( ( ~ mustard_lang
      | ~ salt_cole
      | ~ salt_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(122,plain,
    ( ( ~ mustard_lang
      | ~ salt_cole
      | ~ mustard_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(123,plain,
    ( ( ~ mustard_lang
      | ~ mustard_cole
      | ~ salt_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(124,plain,
    ( ( ~ mustard_lang
      | ~ mustard_cole
      | ~ mustard_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(125,plain,
    ( ( ~ salt_mill
      | salt_barry
      | salt_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(126,plain,
    ( ( ~ salt_mill
      | salt_barry
      | mustard_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(127,plain,
    ( ( ~ salt_mill
      | mustard_barry
      | salt_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(128,plain,
    ( ( ~ salt_mill
      | mustard_barry
      | mustard_lang )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(129,plain,
    ( ( salt_lang
      | ~ mustard_barry
      | ~ salt_barry
      | ~ salt_mill
      | ~ mustard_lang
      | salt_cole
      | mustard_cole
      | salt_dix
      | mustard_dix
      | mustard_mill )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(130,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[66]) ).

thf(131,plain,
    ( ( salt_dix
      | mustard_barry
      | mustard_dix )
    = $true ),
    inference(extcnf_combined,[status(esa)],[67]) ).

thf(132,plain,
    ( ( salt_lang
      | mustard_dix
      | mustard_lang )
    = $true ),
    inference(extcnf_combined,[status(esa)],[70]) ).

thf(133,plain,
    ( ( salt_mill
      | mustard_dix
      | mustard_mill )
    = $true ),
    inference(extcnf_combined,[status(esa)],[71]) ).

thf(134,plain,
    ( ( salt_mill
      | mustard_lang
      | mustard_mill )
    = $true ),
    inference(extcnf_combined,[status(esa)],[73]) ).

thf(135,plain,
    ( ( ~ salt_barry
      | ~ mustard_cole
      | ~ salt_cole
      | mustard_lang
      | salt_lang )
    = $true ),
    inference(extcnf_combined,[status(esa)],[74]) ).

thf(136,plain,
    ( ( ~ salt_lang
      | ~ mustard_barry
      | ~ salt_barry
      | mustard_dix
      | salt_dix )
    = $true ),
    inference(extcnf_combined,[status(esa)],[77]) ).

thf(137,plain,
    ( ( ~ mustard_mill
      | salt_cole
      | mustard_cole
      | mustard_dix
      | salt_dix )
    = $true ),
    inference(extcnf_combined,[status(esa)],[79]) ).

thf(138,plain,
    ( ( ~ mustard_cole
      | mustard_lang
      | salt_dix )
    = $true ),
    inference(extcnf_combined,[status(esa)],[110]) ).

thf(139,plain,
    ( ( ~ salt_mill
      | mustard_lang
      | salt_barry )
    = $true ),
    inference(extcnf_combined,[status(esa)],[126]) ).

thf(140,plain,
    ( ( salt_lang
      | ~ mustard_barry
      | ~ salt_barry
      | ~ salt_mill
      | ~ mustard_lang
      | salt_cole
      | mustard_cole
      | salt_dix
      | mustard_dix
      | mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[129]) ).

thf(141,plain,
    ( ( ~ salt_mill
      | mustard_barry
      | mustard_lang )
    = $true ),
    inference(copy,[status(thm)],[128]) ).

thf(142,plain,
    ( ( ~ salt_mill
      | mustard_barry
      | salt_lang )
    = $true ),
    inference(copy,[status(thm)],[127]) ).

thf(143,plain,
    ( ( ~ salt_mill
      | mustard_lang
      | salt_barry )
    = $true ),
    inference(copy,[status(thm)],[139]) ).

thf(144,plain,
    ( ( ~ salt_mill
      | salt_barry
      | salt_lang )
    = $true ),
    inference(copy,[status(thm)],[125]) ).

thf(145,plain,
    ( ( ~ mustard_lang
      | ~ mustard_cole
      | ~ mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[124]) ).

thf(146,plain,
    ( ( ~ mustard_lang
      | ~ mustard_cole
      | ~ salt_mill )
    = $true ),
    inference(copy,[status(thm)],[123]) ).

thf(147,plain,
    ( ( ~ mustard_lang
      | ~ salt_cole
      | ~ mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[122]) ).

thf(148,plain,
    ( ( ~ mustard_lang
      | ~ salt_cole
      | ~ salt_mill )
    = $true ),
    inference(copy,[status(thm)],[121]) ).

thf(149,plain,
    ( ( ~ mustard_dix
      | ~ mustard_lang
      | ~ mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[120]) ).

thf(150,plain,
    ( ( ~ mustard_dix
      | ~ mustard_lang
      | ~ salt_mill )
    = $true ),
    inference(copy,[status(thm)],[119]) ).

thf(151,plain,
    ( ( ~ mustard_dix
      | ~ salt_lang
      | ~ mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[118]) ).

thf(152,plain,
    ( ( ~ mustard_dix
      | ~ salt_lang
      | ~ salt_mill )
    = $true ),
    inference(copy,[status(thm)],[117]) ).

thf(153,plain,
    ( ( ~ salt_dix
      | ~ mustard_barry
      | mustard_cole )
    = $true ),
    inference(copy,[status(thm)],[116]) ).

thf(154,plain,
    ( ( ~ salt_dix
      | ~ mustard_barry
      | salt_cole )
    = $true ),
    inference(copy,[status(thm)],[115]) ).

thf(155,plain,
    ( ( ~ salt_dix
      | ~ salt_barry
      | mustard_cole )
    = $true ),
    inference(copy,[status(thm)],[114]) ).

thf(156,plain,
    ( ( ~ salt_dix
      | ~ salt_barry
      | salt_cole )
    = $true ),
    inference(copy,[status(thm)],[113]) ).

thf(157,plain,
    ( ( ~ mustard_cole
      | mustard_dix
      | mustard_lang )
    = $true ),
    inference(copy,[status(thm)],[112]) ).

thf(158,plain,
    ( ( ~ mustard_cole
      | mustard_dix
      | salt_lang )
    = $true ),
    inference(copy,[status(thm)],[111]) ).

thf(159,plain,
    ( ( ~ mustard_cole
      | mustard_lang
      | salt_dix )
    = $true ),
    inference(copy,[status(thm)],[138]) ).

thf(160,plain,
    ( ( ~ mustard_cole
      | salt_dix
      | salt_lang )
    = $true ),
    inference(copy,[status(thm)],[109]) ).

thf(161,plain,
    ( ( ~ mustard_barry
      | ~ mustard_dix
      | mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[108]) ).

thf(162,plain,
    ( ( ~ mustard_barry
      | ~ mustard_dix
      | salt_mill )
    = $true ),
    inference(copy,[status(thm)],[107]) ).

thf(163,plain,
    ( ( ~ mustard_barry
      | ~ salt_dix
      | mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[106]) ).

thf(164,plain,
    ( ( ~ mustard_barry
      | ~ salt_dix
      | salt_mill )
    = $true ),
    inference(copy,[status(thm)],[105]) ).

thf(165,plain,
    ( ( salt_dix
      | ~ mustard_dix
      | mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[104]) ).

thf(166,plain,
    ( ( ~ salt_dix
      | mustard_dix
      | mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[103]) ).

thf(167,plain,
    ( ( salt_cole
      | ~ mustard_cole
      | mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(168,plain,
    ( ( ~ salt_cole
      | mustard_cole
      | mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(169,plain,
    ( ( ~ salt_lang
      | ~ mustard_lang
      | salt_mill )
    = $true ),
    inference(copy,[status(thm)],[100]) ).

thf(170,plain,
    ( ( ~ salt_barry
      | ~ mustard_barry
      | salt_mill )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(171,plain,
    ( ( salt_dix
      | ~ mustard_dix
      | salt_lang )
    = $true ),
    inference(copy,[status(thm)],[98]) ).

thf(172,plain,
    ( ( ~ salt_dix
      | mustard_dix
      | salt_lang )
    = $true ),
    inference(copy,[status(thm)],[97]) ).

thf(173,plain,
    ( ( salt_barry
      | ~ mustard_barry
      | salt_lang )
    = $true ),
    inference(copy,[status(thm)],[96]) ).

thf(174,plain,
    ( ( ~ salt_barry
      | mustard_barry
      | salt_lang )
    = $true ),
    inference(copy,[status(thm)],[95]) ).

thf(175,plain,
    ( ( ~ salt_cole
      | ~ mustard_cole
      | salt_dix )
    = $true ),
    inference(copy,[status(thm)],[94]) ).

thf(176,plain,
    ( ( ~ salt_lang
      | ~ mustard_lang
      | mustard_cole )
    = $true ),
    inference(copy,[status(thm)],[93]) ).

thf(177,plain,
    ( ( ~ salt_dix
      | ~ mustard_dix
      | mustard_cole )
    = $true ),
    inference(copy,[status(thm)],[92]) ).

thf(178,plain,
    ( ( salt_barry
      | ~ mustard_barry
      | salt_cole )
    = $true ),
    inference(copy,[status(thm)],[91]) ).

thf(179,plain,
    ( ( ~ salt_barry
      | mustard_barry
      | salt_cole )
    = $true ),
    inference(copy,[status(thm)],[90]) ).

thf(180,plain,
    ( ( ~ salt_mill
      | ~ mustard_mill
      | mustard_barry )
    = $true ),
    inference(copy,[status(thm)],[89]) ).

thf(181,plain,
    ( ( salt_lang
      | ~ mustard_lang
      | salt_barry )
    = $true ),
    inference(copy,[status(thm)],[88]) ).

thf(182,plain,
    ( ( ~ salt_lang
      | mustard_lang
      | salt_barry )
    = $true ),
    inference(copy,[status(thm)],[87]) ).

thf(183,plain,
    ( ( salt_cole
      | ~ mustard_cole
      | salt_barry )
    = $true ),
    inference(copy,[status(thm)],[86]) ).

thf(184,plain,
    ( ( ~ salt_cole
      | mustard_cole
      | salt_barry )
    = $true ),
    inference(copy,[status(thm)],[85]) ).

thf(185,plain,
    ( ( ~ salt_cole
      | ~ mustard_barry
      | ~ salt_barry
      | ~ mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[84]) ).

thf(186,plain,
    ( ( ~ salt_cole
      | ~ mustard_barry
      | ~ salt_barry
      | ~ salt_mill )
    = $true ),
    inference(copy,[status(thm)],[83]) ).

thf(187,plain,
    ( ( ~ salt_cole
      | salt_barry
      | mustard_barry
      | ~ mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[82]) ).

thf(188,plain,
    ( ( ~ salt_cole
      | salt_barry
      | mustard_barry
      | ~ salt_mill )
    = $true ),
    inference(copy,[status(thm)],[81]) ).

thf(189,plain,
    ( ( ~ mustard_mill
      | ~ mustard_cole
      | ~ salt_cole
      | ~ mustard_dix
      | ~ salt_dix )
    = $true ),
    inference(copy,[status(thm)],[80]) ).

thf(190,plain,
    ( ( ~ mustard_mill
      | salt_cole
      | mustard_cole
      | mustard_dix
      | salt_dix )
    = $true ),
    inference(copy,[status(thm)],[137]) ).

thf(191,plain,
    ( ( ~ salt_lang
      | ~ mustard_barry
      | ~ salt_barry
      | ~ mustard_dix
      | ~ salt_dix )
    = $true ),
    inference(copy,[status(thm)],[78]) ).

thf(192,plain,
    ( ( ~ salt_lang
      | ~ mustard_barry
      | ~ salt_barry
      | mustard_dix
      | salt_dix )
    = $true ),
    inference(copy,[status(thm)],[136]) ).

thf(193,plain,
    ( ( ~ salt_lang
      | salt_barry
      | mustard_barry
      | ~ mustard_dix
      | ~ salt_dix )
    = $true ),
    inference(copy,[status(thm)],[76]) ).

thf(194,plain,
    ( ( ~ salt_barry
      | ~ mustard_cole
      | ~ salt_cole
      | ~ mustard_lang
      | ~ salt_lang )
    = $true ),
    inference(copy,[status(thm)],[75]) ).

thf(195,plain,
    ( ( ~ salt_barry
      | ~ mustard_cole
      | ~ salt_cole
      | mustard_lang
      | salt_lang )
    = $true ),
    inference(copy,[status(thm)],[135]) ).

thf(196,plain,
    ( ( salt_mill
      | mustard_lang
      | mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[134]) ).

thf(197,plain,
    ( ( salt_cole
      | mustard_cole
      | mustard_lang )
    = $true ),
    inference(copy,[status(thm)],[72]) ).

thf(198,plain,
    ( ( salt_mill
      | mustard_dix
      | mustard_mill )
    = $true ),
    inference(copy,[status(thm)],[133]) ).

thf(199,plain,
    ( ( salt_lang
      | mustard_dix
      | mustard_lang )
    = $true ),
    inference(copy,[status(thm)],[132]) ).

thf(200,plain,
    ( ( salt_barry
      | mustard_barry
      | salt_dix )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(201,plain,
    ( ( salt_mill
      | mustard_mill
      | salt_cole )
    = $true ),
    inference(copy,[status(thm)],[68]) ).

thf(202,plain,
    ( ( salt_dix
      | mustard_barry
      | mustard_dix )
    = $true ),
    inference(copy,[status(thm)],[131]) ).

thf(203,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[130]) ).

thf(204,plain,
    ( ( salt_lang = $true )
    | ( ( ~ mustard_barry
        | ~ salt_barry
        | ~ salt_mill
        | ~ mustard_lang
        | salt_cole
        | mustard_cole
        | salt_dix
        | mustard_dix
        | mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[140]) ).

thf(205,plain,
    ( ( ( ~ salt_mill )
      = $true )
    | ( ( mustard_barry
        | mustard_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[141]) ).

thf(206,plain,
    ( ( ( ~ salt_mill )
      = $true )
    | ( ( mustard_barry
        | salt_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[142]) ).

thf(207,plain,
    ( ( ( ~ salt_mill )
      = $true )
    | ( ( mustard_lang
        | salt_barry )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[143]) ).

thf(208,plain,
    ( ( ( ~ salt_mill )
      = $true )
    | ( ( salt_barry
        | salt_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[144]) ).

thf(209,plain,
    ( ( ( ~ mustard_lang )
      = $true )
    | ( ( ~ mustard_cole
        | ~ mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[145]) ).

thf(210,plain,
    ( ( ( ~ mustard_lang )
      = $true )
    | ( ( ~ mustard_cole
        | ~ salt_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[146]) ).

thf(211,plain,
    ( ( ( ~ mustard_lang )
      = $true )
    | ( ( ~ salt_cole
        | ~ mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[147]) ).

thf(212,plain,
    ( ( ( ~ mustard_lang )
      = $true )
    | ( ( ~ salt_cole
        | ~ salt_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[148]) ).

thf(213,plain,
    ( ( ( ~ mustard_dix )
      = $true )
    | ( ( ~ mustard_lang
        | ~ mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[149]) ).

thf(214,plain,
    ( ( ( ~ mustard_dix )
      = $true )
    | ( ( ~ mustard_lang
        | ~ salt_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[150]) ).

thf(215,plain,
    ( ( ( ~ mustard_dix )
      = $true )
    | ( ( ~ salt_lang
        | ~ mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[151]) ).

thf(216,plain,
    ( ( ( ~ mustard_dix )
      = $true )
    | ( ( ~ salt_lang
        | ~ salt_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[152]) ).

thf(217,plain,
    ( ( ( ~ salt_dix )
      = $true )
    | ( ( ~ mustard_barry
        | mustard_cole )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[153]) ).

thf(218,plain,
    ( ( ( ~ salt_dix )
      = $true )
    | ( ( ~ mustard_barry
        | salt_cole )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[154]) ).

thf(219,plain,
    ( ( ( ~ salt_dix )
      = $true )
    | ( ( ~ salt_barry
        | mustard_cole )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[155]) ).

thf(220,plain,
    ( ( ( ~ salt_dix )
      = $true )
    | ( ( ~ salt_barry
        | salt_cole )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[156]) ).

thf(221,plain,
    ( ( ( ~ mustard_cole )
      = $true )
    | ( ( mustard_dix
        | mustard_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[157]) ).

thf(222,plain,
    ( ( ( ~ mustard_cole )
      = $true )
    | ( ( mustard_dix
        | salt_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[158]) ).

thf(223,plain,
    ( ( ( ~ mustard_cole )
      = $true )
    | ( ( mustard_lang
        | salt_dix )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[159]) ).

thf(224,plain,
    ( ( ( ~ mustard_cole )
      = $true )
    | ( ( salt_dix
        | salt_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[160]) ).

thf(225,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( ( ~ mustard_dix
        | mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[161]) ).

thf(226,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( ( ~ mustard_dix
        | salt_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[162]) ).

thf(227,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( ( ~ salt_dix
        | mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[163]) ).

thf(228,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( ( ~ salt_dix
        | salt_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[164]) ).

thf(229,plain,
    ( ( salt_dix = $true )
    | ( ( ~ mustard_dix
        | mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[165]) ).

thf(230,plain,
    ( ( ( ~ salt_dix )
      = $true )
    | ( ( mustard_dix
        | mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[166]) ).

thf(231,plain,
    ( ( salt_cole = $true )
    | ( ( ~ mustard_cole
        | mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[167]) ).

thf(232,plain,
    ( ( ( ~ salt_cole )
      = $true )
    | ( ( mustard_cole
        | mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[168]) ).

thf(233,plain,
    ( ( ( ~ salt_lang )
      = $true )
    | ( ( ~ mustard_lang
        | salt_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[169]) ).

thf(234,plain,
    ( ( ( ~ salt_barry )
      = $true )
    | ( ( ~ mustard_barry
        | salt_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[170]) ).

thf(235,plain,
    ( ( salt_dix = $true )
    | ( ( ~ mustard_dix
        | salt_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[171]) ).

thf(236,plain,
    ( ( ( ~ salt_dix )
      = $true )
    | ( ( mustard_dix
        | salt_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[172]) ).

thf(237,plain,
    ( ( salt_barry = $true )
    | ( ( ~ mustard_barry
        | salt_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[173]) ).

thf(238,plain,
    ( ( ( ~ salt_barry )
      = $true )
    | ( ( mustard_barry
        | salt_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[174]) ).

thf(239,plain,
    ( ( ( ~ salt_cole )
      = $true )
    | ( ( ~ mustard_cole
        | salt_dix )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[175]) ).

thf(240,plain,
    ( ( ( ~ salt_lang )
      = $true )
    | ( ( ~ mustard_lang
        | mustard_cole )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[176]) ).

thf(241,plain,
    ( ( ( ~ salt_dix )
      = $true )
    | ( ( ~ mustard_dix
        | mustard_cole )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[177]) ).

thf(242,plain,
    ( ( salt_barry = $true )
    | ( ( ~ mustard_barry
        | salt_cole )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[178]) ).

thf(243,plain,
    ( ( ( ~ salt_barry )
      = $true )
    | ( ( mustard_barry
        | salt_cole )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[179]) ).

thf(244,plain,
    ( ( ( ~ salt_mill )
      = $true )
    | ( ( ~ mustard_mill
        | mustard_barry )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[180]) ).

thf(245,plain,
    ( ( salt_lang = $true )
    | ( ( ~ mustard_lang
        | salt_barry )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[181]) ).

thf(246,plain,
    ( ( ( ~ salt_lang )
      = $true )
    | ( ( mustard_lang
        | salt_barry )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[182]) ).

thf(247,plain,
    ( ( salt_cole = $true )
    | ( ( ~ mustard_cole
        | salt_barry )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[183]) ).

thf(248,plain,
    ( ( ( ~ salt_cole )
      = $true )
    | ( ( mustard_cole
        | salt_barry )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[184]) ).

thf(249,plain,
    ( ( ( ~ salt_cole )
      = $true )
    | ( ( ~ mustard_barry
        | ~ salt_barry
        | ~ mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[185]) ).

thf(250,plain,
    ( ( ( ~ salt_cole )
      = $true )
    | ( ( ~ mustard_barry
        | ~ salt_barry
        | ~ salt_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[186]) ).

thf(251,plain,
    ( ( ( ~ salt_cole )
      = $true )
    | ( ( salt_barry
        | mustard_barry
        | ~ mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[187]) ).

thf(252,plain,
    ( ( ( ~ salt_cole )
      = $true )
    | ( ( salt_barry
        | mustard_barry
        | ~ salt_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[188]) ).

thf(253,plain,
    ( ( ( ~ mustard_mill )
      = $true )
    | ( ( ~ mustard_cole
        | ~ salt_cole
        | ~ mustard_dix
        | ~ salt_dix )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[189]) ).

thf(254,plain,
    ( ( ( ~ mustard_mill )
      = $true )
    | ( ( salt_cole
        | mustard_cole
        | mustard_dix
        | salt_dix )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[190]) ).

thf(255,plain,
    ( ( ( ~ salt_lang )
      = $true )
    | ( ( ~ mustard_barry
        | ~ salt_barry
        | ~ mustard_dix
        | ~ salt_dix )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[191]) ).

thf(256,plain,
    ( ( ( ~ salt_lang )
      = $true )
    | ( ( ~ mustard_barry
        | ~ salt_barry
        | mustard_dix
        | salt_dix )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[192]) ).

thf(257,plain,
    ( ( ( ~ salt_lang )
      = $true )
    | ( ( salt_barry
        | mustard_barry
        | ~ mustard_dix
        | ~ salt_dix )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[193]) ).

thf(258,plain,
    ( ( ( ~ salt_barry )
      = $true )
    | ( ( ~ mustard_cole
        | ~ salt_cole
        | ~ mustard_lang
        | ~ salt_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[194]) ).

thf(259,plain,
    ( ( ( ~ salt_barry )
      = $true )
    | ( ( ~ mustard_cole
        | ~ salt_cole
        | mustard_lang
        | salt_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[195]) ).

thf(260,plain,
    ( ( salt_mill = $true )
    | ( ( mustard_lang
        | mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[196]) ).

thf(261,plain,
    ( ( salt_cole = $true )
    | ( ( mustard_cole
        | mustard_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[197]) ).

thf(262,plain,
    ( ( salt_mill = $true )
    | ( ( mustard_dix
        | mustard_mill )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[198]) ).

thf(263,plain,
    ( ( salt_lang = $true )
    | ( ( mustard_dix
        | mustard_lang )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[199]) ).

thf(264,plain,
    ( ( salt_barry = $true )
    | ( ( mustard_barry
        | salt_dix )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[200]) ).

thf(265,plain,
    ( ( salt_mill = $true )
    | ( ( mustard_mill
        | salt_cole )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[201]) ).

thf(266,plain,
    ( ( salt_dix = $true )
    | ( ( mustard_barry
        | mustard_dix )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[202]) ).

thf(267,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[203]) ).

thf(268,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( ( ~ salt_barry
        | ~ salt_mill
        | ~ mustard_lang
        | salt_cole
        | mustard_cole
        | salt_dix
        | mustard_dix
        | mustard_mill )
      = $true )
    | ( salt_lang = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[204]) ).

thf(269,plain,
    ( ( salt_mill = $false )
    | ( ( mustard_barry
        | mustard_lang )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[205]) ).

thf(270,plain,
    ( ( salt_mill = $false )
    | ( ( mustard_barry
        | salt_lang )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[206]) ).

thf(271,plain,
    ( ( salt_mill = $false )
    | ( ( mustard_lang
        | salt_barry )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[207]) ).

thf(272,plain,
    ( ( salt_mill = $false )
    | ( ( salt_barry
        | salt_lang )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[208]) ).

thf(273,plain,
    ( ( mustard_lang = $false )
    | ( ( ~ mustard_cole
        | ~ mustard_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[209]) ).

thf(274,plain,
    ( ( mustard_lang = $false )
    | ( ( ~ mustard_cole
        | ~ salt_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[210]) ).

thf(275,plain,
    ( ( mustard_lang = $false )
    | ( ( ~ salt_cole
        | ~ mustard_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[211]) ).

thf(276,plain,
    ( ( mustard_lang = $false )
    | ( ( ~ salt_cole
        | ~ salt_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[212]) ).

thf(277,plain,
    ( ( mustard_dix = $false )
    | ( ( ~ mustard_lang
        | ~ mustard_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[213]) ).

thf(278,plain,
    ( ( mustard_dix = $false )
    | ( ( ~ mustard_lang
        | ~ salt_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[214]) ).

thf(279,plain,
    ( ( mustard_dix = $false )
    | ( ( ~ salt_lang
        | ~ mustard_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[215]) ).

thf(280,plain,
    ( ( mustard_dix = $false )
    | ( ( ~ salt_lang
        | ~ salt_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[216]) ).

thf(281,plain,
    ( ( salt_dix = $false )
    | ( ( ~ mustard_barry
        | mustard_cole )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[217]) ).

thf(282,plain,
    ( ( salt_dix = $false )
    | ( ( ~ mustard_barry
        | salt_cole )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[218]) ).

thf(283,plain,
    ( ( salt_dix = $false )
    | ( ( ~ salt_barry
        | mustard_cole )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[219]) ).

thf(284,plain,
    ( ( salt_dix = $false )
    | ( ( ~ salt_barry
        | salt_cole )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[220]) ).

thf(285,plain,
    ( ( mustard_cole = $false )
    | ( ( mustard_dix
        | mustard_lang )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[221]) ).

thf(286,plain,
    ( ( mustard_cole = $false )
    | ( ( mustard_dix
        | salt_lang )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[222]) ).

thf(287,plain,
    ( ( mustard_cole = $false )
    | ( ( mustard_lang
        | salt_dix )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[223]) ).

thf(288,plain,
    ( ( mustard_cole = $false )
    | ( ( salt_dix
        | salt_lang )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[224]) ).

thf(289,plain,
    ( ( mustard_barry = $false )
    | ( ( ~ mustard_dix
        | mustard_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[225]) ).

thf(290,plain,
    ( ( mustard_barry = $false )
    | ( ( ~ mustard_dix
        | salt_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[226]) ).

thf(291,plain,
    ( ( mustard_barry = $false )
    | ( ( ~ salt_dix
        | mustard_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[227]) ).

thf(292,plain,
    ( ( mustard_barry = $false )
    | ( ( ~ salt_dix
        | salt_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[228]) ).

thf(293,plain,
    ( ( ( ~ mustard_dix )
      = $true )
    | ( mustard_mill = $true )
    | ( salt_dix = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[229]) ).

thf(294,plain,
    ( ( salt_dix = $false )
    | ( ( mustard_dix
        | mustard_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[230]) ).

thf(295,plain,
    ( ( ( ~ mustard_cole )
      = $true )
    | ( mustard_mill = $true )
    | ( salt_cole = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[231]) ).

thf(296,plain,
    ( ( salt_cole = $false )
    | ( ( mustard_cole
        | mustard_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[232]) ).

thf(297,plain,
    ( ( salt_lang = $false )
    | ( ( ~ mustard_lang
        | salt_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[233]) ).

thf(298,plain,
    ( ( salt_barry = $false )
    | ( ( ~ mustard_barry
        | salt_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[234]) ).

thf(299,plain,
    ( ( ( ~ mustard_dix )
      = $true )
    | ( salt_lang = $true )
    | ( salt_dix = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[235]) ).

thf(300,plain,
    ( ( salt_dix = $false )
    | ( ( mustard_dix
        | salt_lang )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[236]) ).

thf(301,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( salt_lang = $true )
    | ( salt_barry = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[237]) ).

thf(302,plain,
    ( ( salt_barry = $false )
    | ( ( mustard_barry
        | salt_lang )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[238]) ).

thf(303,plain,
    ( ( salt_cole = $false )
    | ( ( ~ mustard_cole
        | salt_dix )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[239]) ).

thf(304,plain,
    ( ( salt_lang = $false )
    | ( ( ~ mustard_lang
        | mustard_cole )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[240]) ).

thf(305,plain,
    ( ( salt_dix = $false )
    | ( ( ~ mustard_dix
        | mustard_cole )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[241]) ).

thf(306,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( salt_cole = $true )
    | ( salt_barry = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[242]) ).

thf(307,plain,
    ( ( salt_barry = $false )
    | ( ( mustard_barry
        | salt_cole )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[243]) ).

thf(308,plain,
    ( ( salt_mill = $false )
    | ( ( ~ mustard_mill
        | mustard_barry )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[244]) ).

thf(309,plain,
    ( ( ( ~ mustard_lang )
      = $true )
    | ( salt_barry = $true )
    | ( salt_lang = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[245]) ).

thf(310,plain,
    ( ( salt_lang = $false )
    | ( ( mustard_lang
        | salt_barry )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[246]) ).

thf(311,plain,
    ( ( ( ~ mustard_cole )
      = $true )
    | ( salt_barry = $true )
    | ( salt_cole = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[247]) ).

thf(312,plain,
    ( ( salt_cole = $false )
    | ( ( mustard_cole
        | salt_barry )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[248]) ).

thf(313,plain,
    ( ( salt_cole = $false )
    | ( ( ~ mustard_barry
        | ~ salt_barry
        | ~ mustard_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[249]) ).

thf(314,plain,
    ( ( salt_cole = $false )
    | ( ( ~ mustard_barry
        | ~ salt_barry
        | ~ salt_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[250]) ).

thf(315,plain,
    ( ( salt_cole = $false )
    | ( ( salt_barry
        | mustard_barry
        | ~ mustard_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[251]) ).

thf(316,plain,
    ( ( salt_cole = $false )
    | ( ( salt_barry
        | mustard_barry
        | ~ salt_mill )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[252]) ).

thf(317,plain,
    ( ( mustard_mill = $false )
    | ( ( ~ mustard_cole
        | ~ salt_cole
        | ~ mustard_dix
        | ~ salt_dix )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[253]) ).

thf(318,plain,
    ( ( mustard_mill = $false )
    | ( ( salt_cole
        | mustard_cole
        | mustard_dix
        | salt_dix )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[254]) ).

thf(319,plain,
    ( ( salt_lang = $false )
    | ( ( ~ mustard_barry
        | ~ salt_barry
        | ~ mustard_dix
        | ~ salt_dix )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[255]) ).

thf(320,plain,
    ( ( salt_lang = $false )
    | ( ( ~ mustard_barry
        | ~ salt_barry
        | mustard_dix
        | salt_dix )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[256]) ).

thf(321,plain,
    ( ( salt_lang = $false )
    | ( ( salt_barry
        | mustard_barry
        | ~ mustard_dix
        | ~ salt_dix )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[257]) ).

thf(322,plain,
    ( ( salt_barry = $false )
    | ( ( ~ mustard_cole
        | ~ salt_cole
        | ~ mustard_lang
        | ~ salt_lang )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[258]) ).

thf(323,plain,
    ( ( salt_barry = $false )
    | ( ( ~ mustard_cole
        | ~ salt_cole
        | mustard_lang
        | salt_lang )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[259]) ).

thf(324,plain,
    ( ( mustard_lang = $true )
    | ( mustard_mill = $true )
    | ( salt_mill = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[260]) ).

thf(325,plain,
    ( ( mustard_cole = $true )
    | ( mustard_lang = $true )
    | ( salt_cole = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[261]) ).

thf(326,plain,
    ( ( mustard_dix = $true )
    | ( mustard_mill = $true )
    | ( salt_mill = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[262]) ).

thf(327,plain,
    ( ( mustard_dix = $true )
    | ( mustard_lang = $true )
    | ( salt_lang = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[263]) ).

thf(328,plain,
    ( ( mustard_barry = $true )
    | ( salt_dix = $true )
    | ( salt_barry = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[264]) ).

thf(329,plain,
    ( ( mustard_mill = $true )
    | ( salt_cole = $true )
    | ( salt_mill = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[265]) ).

thf(330,plain,
    ( ( mustard_barry = $true )
    | ( mustard_dix = $true )
    | ( salt_dix = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[266]) ).

thf(331,plain,
    ( ( mustard_barry = $false )
    | ( ( ~ salt_barry
        | ~ salt_mill
        | ~ mustard_lang
        | salt_cole
        | mustard_cole
        | salt_dix
        | mustard_dix
        | mustard_mill )
      = $true )
    | ( salt_lang = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[268]) ).

thf(332,plain,
    ( ( mustard_barry = $true )
    | ( mustard_lang = $true )
    | ( salt_mill = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[269]) ).

thf(333,plain,
    ( ( mustard_barry = $true )
    | ( salt_lang = $true )
    | ( salt_mill = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[270]) ).

thf(334,plain,
    ( ( mustard_lang = $true )
    | ( salt_barry = $true )
    | ( salt_mill = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[271]) ).

thf(335,plain,
    ( ( salt_barry = $true )
    | ( salt_lang = $true )
    | ( salt_mill = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[272]) ).

thf(336,plain,
    ( ( ( ~ mustard_cole )
      = $true )
    | ( ( ~ mustard_mill )
      = $true )
    | ( mustard_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[273]) ).

thf(337,plain,
    ( ( ( ~ mustard_cole )
      = $true )
    | ( ( ~ salt_mill )
      = $true )
    | ( mustard_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[274]) ).

thf(338,plain,
    ( ( ( ~ salt_cole )
      = $true )
    | ( ( ~ mustard_mill )
      = $true )
    | ( mustard_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[275]) ).

thf(339,plain,
    ( ( ( ~ salt_cole )
      = $true )
    | ( ( ~ salt_mill )
      = $true )
    | ( mustard_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[276]) ).

thf(340,plain,
    ( ( ( ~ mustard_lang )
      = $true )
    | ( ( ~ mustard_mill )
      = $true )
    | ( mustard_dix = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[277]) ).

thf(341,plain,
    ( ( ( ~ mustard_lang )
      = $true )
    | ( ( ~ salt_mill )
      = $true )
    | ( mustard_dix = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[278]) ).

thf(342,plain,
    ( ( ( ~ salt_lang )
      = $true )
    | ( ( ~ mustard_mill )
      = $true )
    | ( mustard_dix = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[279]) ).

thf(343,plain,
    ( ( ( ~ salt_lang )
      = $true )
    | ( ( ~ salt_mill )
      = $true )
    | ( mustard_dix = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[280]) ).

thf(344,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( mustard_cole = $true )
    | ( salt_dix = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[281]) ).

thf(345,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( salt_cole = $true )
    | ( salt_dix = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[282]) ).

thf(346,plain,
    ( ( ( ~ salt_barry )
      = $true )
    | ( mustard_cole = $true )
    | ( salt_dix = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[283]) ).

thf(347,plain,
    ( ( ( ~ salt_barry )
      = $true )
    | ( salt_cole = $true )
    | ( salt_dix = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[284]) ).

thf(348,plain,
    ( ( mustard_dix = $true )
    | ( mustard_lang = $true )
    | ( mustard_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[285]) ).

thf(349,plain,
    ( ( mustard_dix = $true )
    | ( salt_lang = $true )
    | ( mustard_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[286]) ).

thf(350,plain,
    ( ( mustard_lang = $true )
    | ( salt_dix = $true )
    | ( mustard_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[287]) ).

thf(351,plain,
    ( ( salt_dix = $true )
    | ( salt_lang = $true )
    | ( mustard_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[288]) ).

thf(352,plain,
    ( ( ( ~ mustard_dix )
      = $true )
    | ( mustard_mill = $true )
    | ( mustard_barry = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[289]) ).

thf(353,plain,
    ( ( ( ~ mustard_dix )
      = $true )
    | ( salt_mill = $true )
    | ( mustard_barry = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[290]) ).

thf(354,plain,
    ( ( ( ~ salt_dix )
      = $true )
    | ( mustard_mill = $true )
    | ( mustard_barry = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[291]) ).

thf(355,plain,
    ( ( ( ~ salt_dix )
      = $true )
    | ( salt_mill = $true )
    | ( mustard_barry = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[292]) ).

thf(356,plain,
    ( ( mustard_dix = $false )
    | ( mustard_mill = $true )
    | ( salt_dix = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[293]) ).

thf(357,plain,
    ( ( mustard_dix = $true )
    | ( mustard_mill = $true )
    | ( salt_dix = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[294]) ).

thf(358,plain,
    ( ( mustard_cole = $false )
    | ( mustard_mill = $true )
    | ( salt_cole = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[295]) ).

thf(359,plain,
    ( ( mustard_cole = $true )
    | ( mustard_mill = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[296]) ).

thf(360,plain,
    ( ( ( ~ mustard_lang )
      = $true )
    | ( salt_mill = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[297]) ).

thf(361,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( salt_mill = $true )
    | ( salt_barry = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[298]) ).

thf(362,plain,
    ( ( mustard_dix = $false )
    | ( salt_lang = $true )
    | ( salt_dix = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[299]) ).

thf(363,plain,
    ( ( mustard_dix = $true )
    | ( salt_lang = $true )
    | ( salt_dix = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[300]) ).

thf(364,plain,
    ( ( mustard_barry = $false )
    | ( salt_lang = $true )
    | ( salt_barry = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[301]) ).

thf(365,plain,
    ( ( mustard_barry = $true )
    | ( salt_lang = $true )
    | ( salt_barry = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[302]) ).

thf(366,plain,
    ( ( ( ~ mustard_cole )
      = $true )
    | ( salt_dix = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[303]) ).

thf(367,plain,
    ( ( ( ~ mustard_lang )
      = $true )
    | ( mustard_cole = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[304]) ).

thf(368,plain,
    ( ( ( ~ mustard_dix )
      = $true )
    | ( mustard_cole = $true )
    | ( salt_dix = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[305]) ).

thf(369,plain,
    ( ( mustard_barry = $false )
    | ( salt_cole = $true )
    | ( salt_barry = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[306]) ).

thf(370,plain,
    ( ( mustard_barry = $true )
    | ( salt_cole = $true )
    | ( salt_barry = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[307]) ).

thf(371,plain,
    ( ( ( ~ mustard_mill )
      = $true )
    | ( mustard_barry = $true )
    | ( salt_mill = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[308]) ).

thf(372,plain,
    ( ( mustard_lang = $false )
    | ( salt_barry = $true )
    | ( salt_lang = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[309]) ).

thf(373,plain,
    ( ( mustard_lang = $true )
    | ( salt_barry = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[310]) ).

thf(374,plain,
    ( ( mustard_cole = $false )
    | ( salt_barry = $true )
    | ( salt_cole = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[311]) ).

thf(375,plain,
    ( ( mustard_cole = $true )
    | ( salt_barry = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[312]) ).

thf(376,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( ( ~ salt_barry
        | ~ mustard_mill )
      = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[313]) ).

thf(377,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( ( ~ salt_barry
        | ~ salt_mill )
      = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[314]) ).

thf(378,plain,
    ( ( salt_barry = $true )
    | ( ( mustard_barry
        | ~ mustard_mill )
      = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[315]) ).

thf(379,plain,
    ( ( salt_barry = $true )
    | ( ( mustard_barry
        | ~ salt_mill )
      = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[316]) ).

thf(380,plain,
    ( ( ( ~ mustard_cole )
      = $true )
    | ( ( ~ salt_cole
        | ~ mustard_dix
        | ~ salt_dix )
      = $true )
    | ( mustard_mill = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[317]) ).

thf(381,plain,
    ( ( salt_cole = $true )
    | ( ( mustard_cole
        | mustard_dix
        | salt_dix )
      = $true )
    | ( mustard_mill = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[318]) ).

thf(382,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( ( ~ salt_barry
        | ~ mustard_dix
        | ~ salt_dix )
      = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[319]) ).

thf(383,plain,
    ( ( ( ~ mustard_barry )
      = $true )
    | ( ( ~ salt_barry
        | mustard_dix
        | salt_dix )
      = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[320]) ).

thf(384,plain,
    ( ( salt_barry = $true )
    | ( ( mustard_barry
        | ~ mustard_dix
        | ~ salt_dix )
      = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[321]) ).

thf(385,plain,
    ( ( ( ~ mustard_cole )
      = $true )
    | ( ( ~ salt_cole
        | ~ mustard_lang
        | ~ salt_lang )
      = $true )
    | ( salt_barry = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[322]) ).

thf(386,plain,
    ( ( ( ~ mustard_cole )
      = $true )
    | ( ( ~ salt_cole
        | mustard_lang
        | salt_lang )
      = $true )
    | ( salt_barry = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[323]) ).

thf(387,plain,
    ( ( ( ~ salt_barry )
      = $true )
    | ( ( ~ salt_mill
        | ~ mustard_lang
        | salt_cole
        | mustard_cole
        | salt_dix
        | mustard_dix
        | mustard_mill )
      = $true )
    | ( mustard_barry = $false )
    | ( salt_lang = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[331]) ).

thf(388,plain,
    ( ( mustard_cole = $false )
    | ( ( ~ mustard_mill )
      = $true )
    | ( mustard_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[336]) ).

thf(389,plain,
    ( ( mustard_cole = $false )
    | ( ( ~ salt_mill )
      = $true )
    | ( mustard_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[337]) ).

thf(390,plain,
    ( ( salt_cole = $false )
    | ( ( ~ mustard_mill )
      = $true )
    | ( mustard_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[338]) ).

thf(391,plain,
    ( ( salt_cole = $false )
    | ( ( ~ salt_mill )
      = $true )
    | ( mustard_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[339]) ).

thf(392,plain,
    ( ( mustard_lang = $false )
    | ( ( ~ mustard_mill )
      = $true )
    | ( mustard_dix = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[340]) ).

thf(393,plain,
    ( ( mustard_lang = $false )
    | ( ( ~ salt_mill )
      = $true )
    | ( mustard_dix = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[341]) ).

thf(394,plain,
    ( ( salt_lang = $false )
    | ( ( ~ mustard_mill )
      = $true )
    | ( mustard_dix = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[342]) ).

thf(395,plain,
    ( ( salt_lang = $false )
    | ( ( ~ salt_mill )
      = $true )
    | ( mustard_dix = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[343]) ).

thf(396,plain,
    ( ( mustard_barry = $false )
    | ( mustard_cole = $true )
    | ( salt_dix = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[344]) ).

thf(397,plain,
    ( ( mustard_barry = $false )
    | ( salt_cole = $true )
    | ( salt_dix = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[345]) ).

thf(398,plain,
    ( ( salt_barry = $false )
    | ( mustard_cole = $true )
    | ( salt_dix = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[346]) ).

thf(399,plain,
    ( ( salt_barry = $false )
    | ( salt_cole = $true )
    | ( salt_dix = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[347]) ).

thf(400,plain,
    ( ( mustard_dix = $false )
    | ( mustard_mill = $true )
    | ( mustard_barry = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[352]) ).

thf(401,plain,
    ( ( mustard_dix = $false )
    | ( salt_mill = $true )
    | ( mustard_barry = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[353]) ).

thf(402,plain,
    ( ( salt_dix = $false )
    | ( mustard_mill = $true )
    | ( mustard_barry = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[354]) ).

thf(403,plain,
    ( ( salt_dix = $false )
    | ( salt_mill = $true )
    | ( mustard_barry = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[355]) ).

thf(404,plain,
    ( ( mustard_lang = $false )
    | ( salt_mill = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[360]) ).

thf(405,plain,
    ( ( mustard_barry = $false )
    | ( salt_mill = $true )
    | ( salt_barry = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[361]) ).

thf(406,plain,
    ( ( mustard_cole = $false )
    | ( salt_dix = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[366]) ).

thf(407,plain,
    ( ( mustard_lang = $false )
    | ( mustard_cole = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[367]) ).

thf(408,plain,
    ( ( mustard_dix = $false )
    | ( mustard_cole = $true )
    | ( salt_dix = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[368]) ).

thf(409,plain,
    ( ( mustard_mill = $false )
    | ( mustard_barry = $true )
    | ( salt_mill = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[371]) ).

thf(410,plain,
    ( ( mustard_barry = $false )
    | ( ( ~ salt_barry
        | ~ mustard_mill )
      = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[376]) ).

thf(411,plain,
    ( ( mustard_barry = $false )
    | ( ( ~ salt_barry
        | ~ salt_mill )
      = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[377]) ).

thf(412,plain,
    ( ( mustard_barry = $true )
    | ( ( ~ mustard_mill )
      = $true )
    | ( salt_barry = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[378]) ).

thf(413,plain,
    ( ( mustard_barry = $true )
    | ( ( ~ salt_mill )
      = $true )
    | ( salt_barry = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[379]) ).

thf(414,plain,
    ( ( mustard_cole = $false )
    | ( ( ~ salt_cole
        | ~ mustard_dix
        | ~ salt_dix )
      = $true )
    | ( mustard_mill = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[380]) ).

thf(415,plain,
    ( ( mustard_cole = $true )
    | ( ( mustard_dix
        | salt_dix )
      = $true )
    | ( salt_cole = $true )
    | ( mustard_mill = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[381]) ).

thf(416,plain,
    ( ( mustard_barry = $false )
    | ( ( ~ salt_barry
        | ~ mustard_dix
        | ~ salt_dix )
      = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[382]) ).

thf(417,plain,
    ( ( mustard_barry = $false )
    | ( ( ~ salt_barry
        | mustard_dix
        | salt_dix )
      = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[383]) ).

thf(418,plain,
    ( ( mustard_barry = $true )
    | ( ( ~ mustard_dix
        | ~ salt_dix )
      = $true )
    | ( salt_barry = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[384]) ).

thf(419,plain,
    ( ( mustard_cole = $false )
    | ( ( ~ salt_cole
        | ~ mustard_lang
        | ~ salt_lang )
      = $true )
    | ( salt_barry = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[385]) ).

thf(420,plain,
    ( ( mustard_cole = $false )
    | ( ( ~ salt_cole
        | mustard_lang
        | salt_lang )
      = $true )
    | ( salt_barry = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[386]) ).

thf(421,plain,
    ( ( salt_barry = $false )
    | ( ( ~ salt_mill
        | ~ mustard_lang
        | salt_cole
        | mustard_cole
        | salt_dix
        | mustard_dix
        | mustard_mill )
      = $true )
    | ( mustard_barry = $false )
    | ( salt_lang = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[387]) ).

thf(422,plain,
    ( ( mustard_mill = $false )
    | ( mustard_cole = $false )
    | ( mustard_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[388]) ).

thf(423,plain,
    ( ( salt_mill = $false )
    | ( mustard_cole = $false )
    | ( mustard_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[389]) ).

thf(424,plain,
    ( ( mustard_mill = $false )
    | ( salt_cole = $false )
    | ( mustard_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[390]) ).

thf(425,plain,
    ( ( salt_mill = $false )
    | ( salt_cole = $false )
    | ( mustard_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[391]) ).

thf(426,plain,
    ( ( mustard_mill = $false )
    | ( mustard_lang = $false )
    | ( mustard_dix = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[392]) ).

thf(427,plain,
    ( ( salt_mill = $false )
    | ( mustard_lang = $false )
    | ( mustard_dix = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[393]) ).

thf(428,plain,
    ( ( mustard_mill = $false )
    | ( salt_lang = $false )
    | ( mustard_dix = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[394]) ).

thf(429,plain,
    ( ( salt_mill = $false )
    | ( salt_lang = $false )
    | ( mustard_dix = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[395]) ).

thf(430,plain,
    ( ( ( ~ salt_barry )
      = $true )
    | ( ( ~ mustard_mill )
      = $true )
    | ( mustard_barry = $false )
    | ( salt_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[410]) ).

thf(431,plain,
    ( ( ( ~ salt_barry )
      = $true )
    | ( ( ~ salt_mill )
      = $true )
    | ( mustard_barry = $false )
    | ( salt_cole = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[411]) ).

thf(432,plain,
    ( ( mustard_mill = $false )
    | ( mustard_barry = $true )
    | ( salt_barry = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[412]) ).

thf(433,plain,
    ( ( salt_mill = $false )
    | ( mustard_barry = $true )
    | ( salt_barry = $true )
    | ( salt_cole = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[413]) ).

thf(434,plain,
    ( ( ( ~ salt_cole )
      = $true )
    | ( ( ~ mustard_dix
        | ~ salt_dix )
      = $true )
    | ( mustard_cole = $false )
    | ( mustard_mill = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[414]) ).

thf(435,plain,
    ( ( mustard_dix = $true )
    | ( salt_dix = $true )
    | ( mustard_cole = $true )
    | ( salt_cole = $true )
    | ( mustard_mill = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[415]) ).

thf(436,plain,
    ( ( ( ~ salt_barry )
      = $true )
    | ( ( ~ mustard_dix
        | ~ salt_dix )
      = $true )
    | ( mustard_barry = $false )
    | ( salt_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[416]) ).

thf(437,plain,
    ( ( ( ~ salt_barry )
      = $true )
    | ( ( mustard_dix
        | salt_dix )
      = $true )
    | ( mustard_barry = $false )
    | ( salt_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[417]) ).

thf(438,plain,
    ( ( ( ~ mustard_dix )
      = $true )
    | ( ( ~ salt_dix )
      = $true )
    | ( mustard_barry = $true )
    | ( salt_barry = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[418]) ).

thf(439,plain,
    ( ( ( ~ salt_cole )
      = $true )
    | ( ( ~ mustard_lang
        | ~ salt_lang )
      = $true )
    | ( mustard_cole = $false )
    | ( salt_barry = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[419]) ).

thf(440,plain,
    ( ( ( ~ salt_cole )
      = $true )
    | ( ( mustard_lang
        | salt_lang )
      = $true )
    | ( mustard_cole = $false )
    | ( salt_barry = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[420]) ).

thf(441,plain,
    ( ( ( ~ salt_mill )
      = $true )
    | ( ( ~ mustard_lang
        | salt_cole
        | mustard_cole
        | salt_dix
        | mustard_dix
        | mustard_mill )
      = $true )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_lang = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[421]) ).

thf(442,plain,
    ( ( salt_barry = $false )
    | ( ( ~ mustard_mill )
      = $true )
    | ( mustard_barry = $false )
    | ( salt_cole = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[430]) ).

thf(443,plain,
    ( ( salt_barry = $false )
    | ( ( ~ salt_mill )
      = $true )
    | ( mustard_barry = $false )
    | ( salt_cole = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[431]) ).

thf(444,plain,
    ( ( salt_cole = $false )
    | ( ( ~ mustard_dix
        | ~ salt_dix )
      = $true )
    | ( mustard_cole = $false )
    | ( mustard_mill = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[434]) ).

thf(445,plain,
    ( ( salt_barry = $false )
    | ( ( ~ mustard_dix
        | ~ salt_dix )
      = $true )
    | ( mustard_barry = $false )
    | ( salt_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[436]) ).

thf(446,plain,
    ( ( salt_barry = $false )
    | ( ( mustard_dix
        | salt_dix )
      = $true )
    | ( mustard_barry = $false )
    | ( salt_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[437]) ).

thf(447,plain,
    ( ( mustard_dix = $false )
    | ( ( ~ salt_dix )
      = $true )
    | ( mustard_barry = $true )
    | ( salt_barry = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[438]) ).

thf(448,plain,
    ( ( salt_cole = $false )
    | ( ( ~ mustard_lang
        | ~ salt_lang )
      = $true )
    | ( mustard_cole = $false )
    | ( salt_barry = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[439]) ).

thf(449,plain,
    ( ( salt_cole = $false )
    | ( ( mustard_lang
        | salt_lang )
      = $true )
    | ( mustard_cole = $false )
    | ( salt_barry = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[440]) ).

thf(450,plain,
    ( ( salt_mill = $false )
    | ( ( ~ mustard_lang
        | salt_cole
        | mustard_cole
        | salt_dix
        | mustard_dix
        | mustard_mill )
      = $true )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_lang = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[441]) ).

thf(451,plain,
    ( ( mustard_mill = $false )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_cole = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[442]) ).

thf(452,plain,
    ( ( salt_mill = $false )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_cole = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[443]) ).

thf(453,plain,
    ( ( ( ~ mustard_dix )
      = $true )
    | ( ( ~ salt_dix )
      = $true )
    | ( salt_cole = $false )
    | ( mustard_cole = $false )
    | ( mustard_mill = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[444]) ).

thf(454,plain,
    ( ( ( ~ mustard_dix )
      = $true )
    | ( ( ~ salt_dix )
      = $true )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[445]) ).

thf(455,plain,
    ( ( mustard_dix = $true )
    | ( salt_dix = $true )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_lang = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[446]) ).

thf(456,plain,
    ( ( salt_dix = $false )
    | ( mustard_dix = $false )
    | ( mustard_barry = $true )
    | ( salt_barry = $true )
    | ( salt_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[447]) ).

thf(457,plain,
    ( ( ( ~ mustard_lang )
      = $true )
    | ( ( ~ salt_lang )
      = $true )
    | ( salt_cole = $false )
    | ( mustard_cole = $false )
    | ( salt_barry = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[448]) ).

thf(458,plain,
    ( ( mustard_lang = $true )
    | ( salt_lang = $true )
    | ( salt_cole = $false )
    | ( mustard_cole = $false )
    | ( salt_barry = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[449]) ).

thf(459,plain,
    ( ( ( ~ mustard_lang )
      = $true )
    | ( ( salt_cole
        | mustard_cole
        | salt_dix
        | mustard_dix
        | mustard_mill )
      = $true )
    | ( salt_mill = $false )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_lang = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[450]) ).

thf(460,plain,
    ( ( mustard_dix = $false )
    | ( ( ~ salt_dix )
      = $true )
    | ( salt_cole = $false )
    | ( mustard_cole = $false )
    | ( mustard_mill = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[453]) ).

thf(461,plain,
    ( ( mustard_dix = $false )
    | ( ( ~ salt_dix )
      = $true )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[454]) ).

thf(462,plain,
    ( ( mustard_lang = $false )
    | ( ( ~ salt_lang )
      = $true )
    | ( salt_cole = $false )
    | ( mustard_cole = $false )
    | ( salt_barry = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[457]) ).

thf(463,plain,
    ( ( mustard_lang = $false )
    | ( ( salt_cole
        | mustard_cole
        | salt_dix
        | mustard_dix
        | mustard_mill )
      = $true )
    | ( salt_mill = $false )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_lang = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[459]) ).

thf(464,plain,
    ( ( salt_dix = $false )
    | ( mustard_dix = $false )
    | ( salt_cole = $false )
    | ( mustard_cole = $false )
    | ( mustard_mill = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[460]) ).

thf(465,plain,
    ( ( salt_dix = $false )
    | ( mustard_dix = $false )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_lang = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[461]) ).

thf(466,plain,
    ( ( salt_lang = $false )
    | ( mustard_lang = $false )
    | ( salt_cole = $false )
    | ( mustard_cole = $false )
    | ( salt_barry = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[462]) ).

thf(467,plain,
    ( ( salt_cole = $true )
    | ( ( mustard_cole
        | salt_dix
        | mustard_dix
        | mustard_mill )
      = $true )
    | ( mustard_lang = $false )
    | ( salt_mill = $false )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_lang = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[463]) ).

thf(468,plain,
    ( ( mustard_cole = $true )
    | ( ( salt_dix
        | mustard_dix
        | mustard_mill )
      = $true )
    | ( salt_cole = $true )
    | ( mustard_lang = $false )
    | ( salt_mill = $false )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_lang = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[467]) ).

thf(469,plain,
    ( ( salt_dix = $true )
    | ( ( mustard_dix
        | mustard_mill )
      = $true )
    | ( mustard_cole = $true )
    | ( salt_cole = $true )
    | ( mustard_lang = $false )
    | ( salt_mill = $false )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_lang = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[468]) ).

thf(470,plain,
    ( ( mustard_dix = $true )
    | ( mustard_mill = $true )
    | ( salt_dix = $true )
    | ( mustard_cole = $true )
    | ( salt_cole = $true )
    | ( mustard_lang = $false )
    | ( salt_mill = $false )
    | ( salt_barry = $false )
    | ( mustard_barry = $false )
    | ( salt_lang = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[469]) ).

thf(471,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[267,470,466,465,464,458,456,455,452,451,435,433,432,429,428,427,426,425,424,423,422,409,408,407,406,405,404,403,402,401,400,399,398,397,396,375,374,373,372,370,369,365,364,363,362,359,358,357,356,351,350,349,348,335,334,333,332,330,329,328,327,326,325,324]) ).

thf(472,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[471]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem  : PUZ030-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.12  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun May 29 01:05:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.35  
% 0.18/0.35   No.of.Axioms: 63
% 0.18/0.35  
% 0.18/0.35   Length.of.Defs: 0
% 0.18/0.35  
% 0.18/0.35   Contains.Choice.Funs: false
% 0.18/0.36  (rf:0,axioms:63,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:65,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.18/0.44  
% 0.18/0.44  ********************************
% 0.18/0.44  *   All subproblems solved!    *
% 0.18/0.44  ********************************
% 0.18/0.44  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:63,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:471,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.49  
% 0.18/0.49  %**** Beginning of derivation protocol ****
% 0.18/0.49  % SZS output start CNFRefutation
% See solution above
% 0.18/0.49  
% 0.18/0.49  %**** End of derivation protocol ****
% 0.18/0.49  %**** no. of clauses in derivation: 472 ****
% 0.18/0.49  %**** clause counter: 471 ****
% 0.18/0.49  
% 0.18/0.49  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:63,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:471,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------